Boundedness of wave operators for Schrödinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. Applications are presented to, for example, dispersive estimates and commutator bounds
International audienceIn the framework of one dimensional potential scattering we prove that, modulo...
AbstractAbsolute continuity in (0, ∞) for Schrödinger operators − Δ + V(x), with long range potentia...
AbstractSchrödinger operators in a class of domains with asymptotic cones are considered. A generali...
Boundedness of wave operators for Schrödinger operators in one space dimension for a class of singul...
Given a one dimensional perturbed Schrödinger operator H = ?d2/dx2 + V(x), we consider the associate...
We consider L^1→L^∞ estimates for the time evolution of Hamiltonians H=−Δ+V in dimensions d=1 and d=...
We consider L^1→L^∞ estimates for the time evolution of Hamiltonians H=−Δ+V in dimensions d=1 and d=...
Abstract. Let H0 = − ∆ and H = − ∆ + V (x) be Schrödinger operators on Rm and m ≥ 6 be even. We ass...
Abstract. Let H = − ∆ + V (x) be an odd m-dimensional Schrödinger operator, m ≥ 3, H0 = −∆, and let...
We prove existence of modified wave operators for one-dimensional Schrödinger equations with potent...
In a general setting of scattering theory, we consider two self-adjoint operators H0 and H1 and inve...
There are four important results in my thesis.For a large class of real-valued potentials, V(x), in ...
There are four important results in my thesis.For a large class of real-valued potentials, V(x), in ...
Abstract. We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operator...
International audienceIn the framework of one dimensional potential scattering we prove that, modulo...
International audienceIn the framework of one dimensional potential scattering we prove that, modulo...
AbstractAbsolute continuity in (0, ∞) for Schrödinger operators − Δ + V(x), with long range potentia...
AbstractSchrödinger operators in a class of domains with asymptotic cones are considered. A generali...
Boundedness of wave operators for Schrödinger operators in one space dimension for a class of singul...
Given a one dimensional perturbed Schrödinger operator H = ?d2/dx2 + V(x), we consider the associate...
We consider L^1→L^∞ estimates for the time evolution of Hamiltonians H=−Δ+V in dimensions d=1 and d=...
We consider L^1→L^∞ estimates for the time evolution of Hamiltonians H=−Δ+V in dimensions d=1 and d=...
Abstract. Let H0 = − ∆ and H = − ∆ + V (x) be Schrödinger operators on Rm and m ≥ 6 be even. We ass...
Abstract. Let H = − ∆ + V (x) be an odd m-dimensional Schrödinger operator, m ≥ 3, H0 = −∆, and let...
We prove existence of modified wave operators for one-dimensional Schrödinger equations with potent...
In a general setting of scattering theory, we consider two self-adjoint operators H0 and H1 and inve...
There are four important results in my thesis.For a large class of real-valued potentials, V(x), in ...
There are four important results in my thesis.For a large class of real-valued potentials, V(x), in ...
Abstract. We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operator...
International audienceIn the framework of one dimensional potential scattering we prove that, modulo...
International audienceIn the framework of one dimensional potential scattering we prove that, modulo...
AbstractAbsolute continuity in (0, ∞) for Schrödinger operators − Δ + V(x), with long range potentia...
AbstractSchrödinger operators in a class of domains with asymptotic cones are considered. A generali...